A187633 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants antisymmetric under horizontal and vertical reflection and each non-centerline 2X2 subblock nonsingular

10, 31, 24, 64, 446, 24, 113, 2924, 1648, 954, 170, 12104, 14044, 557382, 954, 255, 37448, 106892, 31903442, 672698, 194008, 336, 98014, 306320, 686589106, 33869160, 21411605018, 194008, 449, 221640, 1848504, 7836968262, 795758912

Offset

1,1

Comments

Table starts

.....10..........31.......64.......113........170.....255....336.449

.....24.........446.....2924.....12104......37448...98014.221640

.....24........1648....14044....106892.....306320.1848504

....954......557382.31903442.686589106.7836968262

....954......672698.33869160.795758912

.194008.21411605018

.194008

Links

Table of n, a(n) for n=1..33.

Example

Some k=3 solutions for 5X5
..2..0..2..1..2....2..0..2..0..2....2..0..2..1..2....2..0..2..1..3
..0..1..0..1..0....0..3..2..3..0....0..2..0..2..0....0..3..0..3..3
..3..1..3..1..3....2..0..2..0..2....2..1..2..0..2....2..0..2..0..2
..0..1..0..1..0....0..3..0..3..0....0..2..0..2..2....1..3..0..3..3
..2..2..2..1..2....2..3..2..0..2....2..2..2..0..2....3..3..2..1..3

Crossrefs

Row 1 is A059306

Row 2 is A187625

Sequence in context: A247207 A187521 A187624 * A063154 A100500 A209994

Adjacent sequences: A187630 A187631 A187632 * A187634 A187635 A187636

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2011

Status

approved